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Finding the Fourth Proportional to 475.67, 656.13 and 326.23

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Solution

The fourth proportional to 475.67, 656.13 and 326.23 is: 449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.67 : 656.13 = 326.23 : x
  2. Step 2: Convert to fraction form
    475.67/656.13 = 326.23/x
  3. Step 3: Cross multiply
    475.67x = 656.13 × 326.23
  4. Step 4: Simplify right side
    475.67x = 214,048.87
  5. Step 5: Solve for x
    x = 214,048.87/475.67
  6. Step 6: Final answer
    x = 449.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.